Atkin-Lehner |
2+ 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310i |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4749886863360000 = 214 · 38 · 54 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14941350,-22225927500] |
[a1,a2,a3,a4,a6] |
Generators |
[-66473052:32889198:29791] |
Generators of the group modulo torsion |
j |
506017710966196618581601/6515619840000 |
j-invariant |
L |
4.1285404210374 |
L(r)(E,1)/r! |
Ω |
0.076789544925319 |
Real period |
R |
6.7205444815327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770bd2 |
Quadratic twists by: -3 |